Magnetostatic equilibria and current sheets in a sheared magnetic field with an X-point

Physics

Scientific paper

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Current Sheets, Magnetohydrodynamic Stability, Solar Corona, Solar Magnetic Field, Force-Free Magnetic Fields, Magnetic Field Configurations, Magnetic Field Reconnection, Polar Cusps, Shear Layers

Scientific paper

When a two-dimensional magnetic field containing X-points is sheared, in general current sheets appear all along the separatrices and the X-points are structurally unstable. Their splitting into pairs of cusp points near which the magnetic field is of self-similar form is suggested. Solutions both inside and outside the cusps are obtained and are matched together by the conditions of continuity of the flux function and continuity of magnetic pressure.

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